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Title: | OPTIMAL CONTROL FOR BILINEAR NILPOTENT SYSTEMS |
Authors: | POPESCU, M |
Keywords: | Optimal control, Lie algebras, Linear quadratic control |
Issue Date: | 2006 |
Publisher: | Transilvania University Press of Braşov |
Citation: | Google Scholar |
Series/Report no.: | CN Mecanica fluidelor 2006;299-306 |
Abstract: | The minimization control problem of quadratic functionals for he class of bilinear systems with the hypothesis of nilpotent associated Lie algebra is analyzed. The optimal control corresponding to the first-, second- and third-order nilpotent operator is determined. In this paper we have considered the minimum fuel problem for the bilinear system. Usually an analytic closed-form solution for the optimal control is not possible and it is necessary to use numerical integration for the set of m nonlinear coupled second order differential equations. The optimal control of bilinear systems is obtained by considering the Lie algebra generated by the system matrices. It should be noted that we have obtained an open-loop control depending on the initial value of the state . |
URI: | http://hdl.handle.net/123456789/1450 |
ISSN: | 1223-964 X |
Appears in Collections: | CN Mecanica Fluidelor 2006
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